Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600bp |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
447293440000000000 = 220 · 510 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-589675,-171291750] |
[a1,a2,a3,a4,a6] |
Generators |
[-5942602:-5478726:12167] |
Generators of the group modulo torsion |
j |
354308756121081/6988960000 |
j-invariant |
L |
6.5472717262336 |
L(r)(E,1)/r! |
Ω |
0.17249119091545 |
Real period |
R |
9.4892841942402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997481 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10450w2 16720bi2 |
Quadratic twists by: -4 5 |